Non-Euclidean Triangle Centers

Non-Euclidean triangle centers can be described using homogeneous coordinates that are proportional to the generalized sines of the directed distances of a given center from the edges of the reference triangle. Identical homogeneous coordinates of a specific triangle center may be used for all spaces of uniform Gaussian curvature. We also define the median point for a set of points in non-Euclidean space and a planar center of rotation for a set of points in a non-Euclidean plane.Comment: 29 pages, 12 figures; added calculations of planar center of rotation for edges and interior of an isosceles triangl

Helping Our Students Reach Their Full Potential: The Insidious Consequences of Stereotype Threat

A psychological phenomenon may be a significant cause of academic underachievement by minorities in law school. This phenomenon, called stereotype threat, occurs as a result of the fear of confirming a negative group stereotype (such as African-Americans are not as intelligent as Whites). When subject to this threat — as a consequence of being confronted with environmental or explicit triggers — people do worse in academic settings than they otherwise are capable of doing. In this article, I explore the implications of the research on stereotype threat for law schools and make several recommendations to deal with the threat. There are natural implications for law school admissions, of course. If a portion of our applicant pool is affected by stereotype threat, then we cannot trust the accuracy of the metrics we typically use in law school admissions, i.e., prior academic performance and LSAT scores of law school applicants. Indeed, those credentials actually may under-evaluate the academic potential of these applicants, who are often minority students. This should cause law schools to reevaluate their admissions policies. After students are admitted, law school provides fertile ground within which stereotype threat can flourish. This, of course, means that the performance of minorities in law school — in class, on exams, and in other areas — is likely to be diminished, such that many minorities will not perform up to their academic capacity. And, obviously, we would expect this same dynamic to play out on the bar exam. Law schools can address stereotype threat at each of these levels, and they should do so. This article lays out a framework for understanding and dealing with the threat

Orifice plates in a shock tube

This note points out some interesting aspects of a recent study of the flow resulting from the use of area change near the diaphragm of a shock tube. (1) Earlier studies (2,3) have been directed toward the use of area change for increasing the available shock speed, and thus have considered geometries where A4/A1 > 1 and A*/A1 = 1 [see notation on Fig. 1(a)]. In the current work, shock tubes with arbitrary values of these parameters are considered over the complete range of Ms (the shock Mach number)

A Dwarf Form of \u3ci\u3eEuptoieta Claudia\u3c/i\u3e (Lepidoptera: Nymphalidae)

During a collecting vacation in August, 1970, I captured several specimens of Euptoieta claudia (Cramer). After spreading the catch, the interesting gradation shown in the accompanying photograph was noted. Figure 1 shows a wing span range from 1 318\u27\u27 \u27to 2

An assessment of the sportfishery on artificial "Liberty Ship" reefs off Port Aransas, Texas

The concept of using surplus World War II Liberty Ships for the construction of artificial reefs to increase the availability of sportfish off the Texas coast was originally suggested in 1974. It became a reality, under the guidance of the Texas Coastal and Marine Council, when three ships were sunk off Port Aransas in the winter of 1976. Since that time, the ships have rapidly become encrusted with algae, anemones, sea urchins, gorgonian coral and other attached marine life. These in turn have provided refuge and food source for a host of small invertebrates and fishes. In June of 1977, one and a half years after ·sinking the first ship, the Texas Coastal and Marine Council commissioned this study to evaluate the impact of the Liberty Ship reefs on sportfishing in the Port Aransas area. For a project such as the Liberty Ship reefs to be successful, there are two criteria: the ships must increase the supply of desirable sportfish and fishermen must be willing to utilize the new resource. The present study is an attempt to evaluate both aspects of the project. A user survey was conducted to determine the amount and type of recreational usage the Liberty Ships receive.A report to the Texas Coastal and Marine Council in fulfillment of Contract No. IAC(76-77)-2149Submitted September 1977Marine Scienc